Rigidity of cotangent lifts and integrable systems

JOURNAL OF GEOMETRY AND PHYSICS

卷:157

Article

Mir, Pau¹  Miranda, Eva^1,2 

[1] Univ Politecn Cataluna, Dept Math, Lab Geometry & Dynam Syst, EPSEB,BGSMath Barcelona Grad Sch Math Barcelona, Barcelona, Spain

[2] PSL Univ, Sorbonne Univ, Observ Paris, IMCCE,CNRS UMR8028, 77 Ave Denfert Rochereau, F-75014 Paris, France

关键词: Integrable systems;    Group actions;    Rigidity;    Degenerate singularities;    Cotangent lifts;   

DOI  :  10.1016/j.geomphys.2020.103847

来源: Elsevier

【 摘 要 】

In this article we generalize a theorem by Palais on the rigidity of compact group actions to cotangent lifts. We use this result to prove rigidity for integrable systems on symplectic manifolds including systems with degenerate singularities which are invariant under a torus action. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free